Try this solution with a short explanation:
a) y=ax²+5; ⇒ substitution (4;0): 16a+5=0; ⇒ a= -5/16.
Answer: <u>y= -5/16 x²+5</u>;
b)<u> y=x²</u>;
c) y=ax(x+7); ⇒ substitution (4;4): 4a(4+7)=4; ⇒a=1/11.
Answer: <u>y= 1/11 x²+ 7/11 x</u>;
d) y=a(x-1)(x-3); ⇒substitution (0;3): (-1)*(-3)*a=3; ⇒a=1.
Answer: <u>y=x²-4x+3</u>;
e) y=a(x-1)(x+3); ⇒ substitution (-1;5): (-2)*2*a=5; ⇒ a= -5/4.
Answer: <u>y= -5/4 x² -5/2 x +15/4</u>;
f) y=ax²+bx+c; ⇒ substitution (2;2): 4a+2b+6=2 or 2a+b= -2 (the I-st equation of the system);
the x-coordinate of the vertex: -b/2a=2; ⇒ b= -4a (the II-d equation of the system);
Answer: <u>y=x²-4x+6.</u>
<span>Tammy rents an apartment close to her school campus. The equation that is given is this one:
r = 355m,
where r is the amount spend on the rent.
m is the number of months.
In order to get the constant proportionality of r to m in this relationship, then we can set a constant k variable.
r = 355 m (k)
k = 1 r / 355 m
1 hour spent, it takes you to spend 355.</span>
Answer:
Step-by-step explanation:
Steve works:
- 60 hour per week = 12 hours per day (60/5)
- first job: 3 hours per day = 15 hours per week
- x = second job hours per day
equitation:
1st option to calculate:
12 (total hours per day) = 3 (hours per day on first job) + X
9 = X
2nd option to calculate:
60(total hours per week) = 15 (3 hours per day x 5) + x
45 = x
you need to divide 45 / 5 to get the daily hours which is 9
Answer:
32.008
Step-by-step explanation:
